Front-like Entire Solutions for a Lotka-Volterra Weak Competition System with Nonlocal Dispersal

被引：2
|
作者：
Zhang, Qian [1 ]
Zhang, Guo-Bao [1 ]
机构：
[1] Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Gansu, Peoples R China
来源：
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2021年 / 27卷 / 01期
关键词：
Nonlocal dispersal; Weak competition system; Traveling wavefronts; Entire solutions; REACTION-DIFFUSION EQUATIONS; TRAVELING-WAVES; UNIQUENESS; STABILITY;
D O I：
10.1007/s10883-020-09487-1
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper is concerned with the front-like entire solutions for a Lotka-Volterra weak competition system with nonlocal dispersal. Here, an entire solution means a classical solution defined for all space and time variables. This system has traveling wavefronts and enjoys the comparison principle. Based on these traveling wavefronts, we construct some super- and sub-solutions. Then, by using the comparison principle and the super- and sub-solutions method, we establish the existence of front-like entire solutions which behave as two wavefronts coming from the both sides of x-axis. Moreover, some properties of the front-like entire solutions are obtained.
引用
收藏
页码：133 / 151
页数：19
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